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Finding the Fourth Proportional to 498, 687.22 and 301.51

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Solution

The fourth proportional to 498, 687.22 and 301.51 is: 416.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    498 : 687.22 = 301.51 : x
  2. Step 2: Convert to fraction form
    498/687.22 = 301.51/x
  3. Step 3: Cross multiply
    498x = 687.22 × 301.51
  4. Step 4: Simplify right side
    498x = 207,203.70
  5. Step 5: Solve for x
    x = 207,203.70/498
  6. Step 6: Final answer
    x = 416.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.